基本解释：黎曼廖
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Similarities and Differences between Newton Integral and Riemann Integral;牛顿积分与黎曼积分之异同
A rigorous coupled wave theory for the Bragg diffraction of a Gaussian beam in the uniaxial crystal is derived and a group of rigorous coupled wave equations and diffraction efficiency formula are obtained in terms of the proper coordinate transformation and Riemann method.利用适当的坐标变换和黎曼方法建立了高斯光束在单轴晶体中布拉格衍射的严格的耦合波理论 ,获得了一组严格的耦合波方程和衍射效率计算公式 ,讨论了衍射效率随折射率调制量的关系以及波长选择性和角度选择性 ,同时分析了衍射效率对再现光宽度的要求。
The Discrete Definition of "ε-N" of Riemann Integral;黎曼积分的离散型“ε-N”定义
Advantage of Lebesgue over Riemann integral;勒贝格积分相对于黎曼积分的优越性
Teaching of Mathematics Short but Reasonable Reasoning for the Riemann Integral;关于黎曼积分定义教学的新探索
Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.以黎曼几何为理论依据,提出了一种新的保角变换,对核函数进行数据依赖性改进,进一步提高分类器泛化能力。
It can be excluded with data dependent way based on Riemannian geometry for improved SVM.基于黎曼几何的SVM数据依赖性改进方法能够剔除支持向量携带的冗余信息,改进SVM的性能。
Two novel conformal transformations were proposed based on the Riemannian geometry theory and S.以黎曼几何为理论依据,基于S。
The effect of contact interaction between particles is decreased by the Riemann solver.通过黎曼解近似粒子间的相互作用,减小接触间断附近的震荡,并给出多介质一维激波管问题的算例,验证此方法的有效性。
The HLL approximate Riemann solver for pressure gradient equations is derived by computing the approximate inter-cell numerical flux in the Godunov scheme directly.计算发现:此格式对于计算压差方程只包含强简单波的黎曼解是适合的,对于计算压差方程的包含弱简单波的黎曼解则不适用。
A smoothed particle hydrodynamics(SPH) algorithm based on the Riemann solution has been presented in this paper.简要介绍了基于黎曼解的光滑粒子法,并将改进的SPH方法应用于超高速碰撞,对二维轴对称条件下的弹丸超高速碰撞薄板问题进行了数值模拟,研究了靶板厚度、弹丸速度、弹丸形状等因素对形成碎片云的影响。
In this paper we use contact algorithm which describes contact interaction between SPH particles by means of Riemann solution to simulate the propagation of wave in shock tube and projectile impact problems,and compare the numerical results with the.采用黎曼解描述粒子间相互作用的接触算法对传统SPH方法进行修正,计算了激波管和飞片碰撞(包含接触界面)问题中波的传播,并将计算结果与解析解作比较。
According to our numerical experiments,this scheme is good for computing the Riemann solution consist of only strong simple waves,but bad for the Riemann solution which contains weak simple w.计算发现:此格式对于计算压差方程只包含强简单波的黎曼解是很好的,对于计算压差方程的包含弱简单波的数值解是不适用的。
